Lp Soboley-space Estimates for the -operator on Polycylinders

Lp Soboley-space Estimates for the -operator on Polycylinders

In trying to copy what has been done for the -operator on domains which satisfy the so called condition z(q) as far as Sobolev spaces are concerned, we are led to estimates in some Sobolev spaces for the -operator on polycylinders for (r, q)-forms. This generalizes our results for the same operator...

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Veröffentlicht in:Complex variables, theory & application theory & application, 2000-02, Vol.40 (4), p.387-393
1. Verfasser: Darko, Patrick W.
Format: Artikel
Sprache:eng
Schlagworte:
inhomogeneous Cauchy-Riemann equations
polycylinders
Soboley-space estimates
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Zusammenfassung:In trying to copy what has been done for the -operator on domains which satisfy the so called condition z(q) as far as Sobolev spaces are concerned, we are led to estimates in some Sobolev spaces for the -operator on polycylinders for (r, q)-forms. This generalizes our results for the same operator on polycylinders for (0, 1)-forms.
ISSN:0278-1077
1563-5066
DOI:10.1080/17476930008815230